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Finding the Fourth Proportional to 122,597.76, 169,121.28 and 82,325.52

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Solution

The fourth proportional to 122,597.76, 169,121.28 and 82,325.52 is: 113,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,597.76 : 169,121.28 = 82,325.52 : x
  2. Step 2: Convert to fraction form
    122,597.76/169,121.28 = 82,325.52/x
  3. Step 3: Cross multiply
    122,597.76x = 169,121.28 × 82,325.52
  4. Step 4: Simplify right side
    122,597.76x = 13,922,997,319.07
  5. Step 5: Solve for x
    x = 13,922,997,319.07/122,597.76
  6. Step 6: Final answer
    x = 113,566.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.